Abstract
Entire texts are needed to discuss shell vibrations in their entirety. In this Chapter, axially symmetric vibrations are discussed first so that through their simplicity, it is easy to see how static equations are easily transformed to dynamic equations, and to show the relation to the vibrations of beams: with and without an elastic foundation. Next, the general vibration characteristic of shells are shown through the study of cylindrical shells, also relating the behavior to beam vibrations. Through the work of Koga, only five types of boundary conditions are needed to study any and all boundary conditions. Next, the time portion of dynamic loads is presented in an easy to use manner to study impact response of shells. Finally, the important areas of shells vibrating in beam modes is studied, using two different approaches. This chapter and the references given provide a background for further study of shell vibrations. In Chapter 21, the vibrations of composite shells is discussed and could be studied upon completing this Chapter.
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© 1993 Springer Science+Business Media Dordrecht
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Vinson, J.R. (1993). Vibration of Isotropic Shells. In: The Behavior of Shells Composed of Isotropic and Composite Materials. Solid Mechanics and Its Applications, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8141-7_12
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DOI: https://doi.org/10.1007/978-94-015-8141-7_12
Publisher Name: Springer, Dordrecht
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